1102112011 has 32 divisors (see below), whose sum is σ = 1501936128. Its totient is φ = 780848640.

The previous prime is 1102111993. The next prime is 1102112017.

1102112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1102112011 - 2¹⁷ = 1101980939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58851 + ... + 75283.

It is an arithmetic number, because the mean of its divisors is an integer number (46935504).

Almost surely, 2^1102112011 is an apocalyptic number.

1102112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102112011 is a deficient number, since it is larger than the sum of its proper divisors (399824117).

1102112011 is a wasteful number, since it uses less digits than its factorization.

1102112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1102112011 is about 33198.0723988608. The cubic root of 1102112011 is about 1032.9403557953.

It can be divided in two parts, 11021 and 12011, that multiplied together give a palindrome (132373231).

The spelling of 1102112011 in words is "one billion, one hundred two million, one hundred twelve thousand, eleven".